Least Common Multiple

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Find the *Least Common Multiple* (LCM) of the numbers 90 and 1440.

**Answer**

$90=(2)({3}^{2})(5)$

$1440=({2}^{5})({3}^{2})(5)$

The LCM of 90 and 1440 is the product of the largest powers of each prime factor in both.

Thus the LCM of 90 and 1440

$=({2}^{5})({3}^{2})(5)$

$=1440$